Using the Model of Continuous Dynamical System with Viscous Resistance Forces for Improving Distribution Prediction Based on Evolution of Quantiles

Author(s):  
Dariusz Rafal Augustyn
2019 ◽  
Vol 24 ◽  
pp. 01014 ◽  
Author(s):  
Alexander G. Tatashev ◽  
Marina V. Yashina

A deterministic continuous dynamical system is considered. This system contains two contours. The length of theith contour equalsci,i= 1, 2. There is a moving segment (cluster) on each contour. The length of the cluster, located on theith contour, equalsli,i= 1, 2. If a cluster moves without delays, then the velocity of the cluster is equal to 1. There is a common point (node) of the contours. Clusters cannot cross the node simultaneously, and therefore delays of clusters occur. A set of repeating system states is called a spectral cycle. Spectral cycles and values of average velocities of clusters have been found. The system belongs to a class of contour systems. This class of dynamical systems has been introduced and studied by A.P. Buslaev.


2007 ◽  
Vol 28 (2) ◽  
pp. 157-162 ◽  
Author(s):  
Gang Zhang ◽  
Zeng-rong Liu ◽  
Zhong-jun Ma

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